<p>
  The following table shows, for each even weight between 4 and 58, the  <a class="knowl-title" knowl="mf.siegel.galois_orbit">Galois orbits</a> of Hecke eigenforms
  <a class ="knowl-title" knowl="mf.siegel.group.symplectic">in the space \(M_*({\rm Sp}(4,\mathbb{Z}))\)</a>.
  The number (#) next to each orbit denotes the number of eigenforms in the orbit.
  <ul>
    <li>
      <span class="emph">E</span> denotes an orbit consisting of <a class="knowl-title" knowl="mf.siegel.eisenstein_series">Siegel Eisenstein series</a>,
    </li>
    <li>
      <span class="emph">Klingen</span> denotes an orbit consisting of <a class="knowl-title" knowl="mf.siegel.klingen_eisenstein_series">Klingen Eisenstein series</a>,
    </li>
    <li>
      <span class="emph">Maass</span> denotes an orbit consisting of <a class="knowl-title" knowl="mf.siegel.lift.maass">Maass liftings</a>,
    </li>
    <li>
      <span class="emph">\(\Upsilon\)</span> denotes an orbit consisting of cusp forms which are neither Eisenstein series nor Maass liftings.
    </li>
  </ul>
</p>

<div>
  <table>
    <thead>
      <tr><th>Weight</th><th colspan=5>Galois orbits (number of eigenforms)</th></tr>
    </thead>
    <tbody>
      {% for wt,forms in  forms %}
      <tr class = "{{ loop.cycle( 'odd', 'even') }}">
	<td>{{ wt }}</td>
        {% for form,dim in forms|sort %}
	<td>
	  <a style="display: inline;" href="{{ url_for( 'ModularForm_GSp4_Q_top_level', group='Sp4Z', form = form, weight = wt, page = 'specimen') }}">
	    {% if form=="Ups" %}
	    \(\Upsilon\)
	    {% elif form=="Ups_I" %}
	    \(\Upsilon_1\)
	    {% elif form=="Ups_II" %}
	    \(\Upsilon_2\)
	    {% else %}
	    {{ form }}
	      {% endif %}
	    ({{ dim }})
	  </a>
	  {% if wt <= 8 %}</td><td></td><td></td><td></td><td>{% endif %}
          {% if (wt == 10 or wt == 14) and form == "E" %}</td><td>{% endif %}
          {% if wt >= 10 and wt <= 18 and form == "Maass" %}</td><td></td><td>{% endif %}
	  {% if form == "Ups" %}</td><td>{% endif %}
	</td>  
	{% endfor %}
      </tr>
      {% endfor %}
    </tbody>
  </table>
</div>

